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Finding the Fourth Proportional to 10,726.16, 16,089.24 and 4,482.76

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Solution

The fourth proportional to 10,726.16, 16,089.24 and 4,482.76 is: 6,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.16 : 16,089.24 = 4,482.76 : x
  2. Step 2: Convert to fraction form
    10,726.16/16,089.24 = 4,482.76/x
  3. Step 3: Cross multiply
    10,726.16x = 16,089.24 × 4,482.76
  4. Step 4: Simplify right side
    10,726.16x = 72,124,201.50
  5. Step 5: Solve for x
    x = 72,124,201.50/10,726.16
  6. Step 6: Final answer
    x = 6,724.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.